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This research article introduces a new iterative process called MP iteration and prove some convergence and approximation results for the fixed points of -nonexpansive mappings in modular function spaces. To demonstrate that MP iterative process converges faster than some well-known existing iterative processes for -nonexpansive mappings, we constructed some numerical examples. In the end, the concept of summably almost T-stability for MP iterative process is discussed.
Panwar et al. (Sun,) studied this question.